Question

Ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A​

Answer 1

Answer:

A=4.

Step-by-step explanation:

Note: In the expression of area the first term should be $Ax^2$.

It is given that area of a rectangular floor of your house is $Ax^2+5x-2$ and the length is $(x+2)$ units.

We know that, area of a rectangle is

$Area=length\times width$

Since length of the rectangle is $(x+2)$, therefore $(x+2)$ is a factor of $Ax^2+5x-2$ and the value of $Ax^2+5x-2$ is 0 at x=-2.

$A(-2)^2+5(-2)-2=0$

$4A-10-2=0$

$4A-12=0$

$4A=12$

Divide both sides by 4.

$A=4$

Therefore, the value of A is 4.